UDDI never really took off, and by now is dead and obsolete (apart from very niche use cases). Given UDDI's non-impact, WS are published as they always were, mostly via WSDL in the case of
SOAP. Since the market in WS which UDDI was meant to enable never materialized, discovery happens mostly by web search. Or you already know which company you want to interface with, in which case you would head straight to their developer documentation.